Derive the equations for a particle moving near the surface of
the earth, given by
?̈= 2?...
80.2K
Verified Solution
Link Copied!
Question
Physics
Derive the equations for a particle moving near the surface ofthe earth, given by
?̈= 2? cos ? ?̇
?̈= −2( cos ? ?̇ + ? sin ? ?̇)
?̈= −? + 2? sin ? ?̇
? = v/r; v=velocity; r-radius
where the earth’s rotational speed in the ?̂ direction is ?.
Answer & Explanation
Solved by verified expert
4.3 Ratings (887 Votes)
At rest we have V0x V0y and V0z Recall eqs 243 x 2 cos y y 2 xcos z sin z g 2 y sin By integrating both xand z we get x 2 cos y V0x z g t 2 y sin V0z Substitute x z in y we get y 2 2 w cos y V0x cos g t 2 y sin V0z sin 2 2 cos2 y V0x cos g t
See Answer
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
